No it doesn't quite fit. I had a 147 wheel on my 156 for a while as it was being re-trimmed. To make the wheel physically fit I had to trim 1mm off the plastic/rubber on the central boss at the back to stop it fouling on the cowling and file the filled in groove out of the splines on the wheel as the 156 wheel can go on any way where as the 147 seems to be keyed for 1 position. Other than that though the electrics all work. Be careful not to damage the clock spring or your airbag light will be on. I still have the modded wheel but it is stripped with no electrics but you can swap yours across. You are welcome to it for the cost of postage.